Finite Group Databasebeta

← Group #11888698

Character table — Group #11888698

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444888888888888888888121212121212121212121212121212121616161616181824242424242424242424242424243648727272
order1222334466666634466612121212481212121212121212242424242424242422244466888812121212121212121244244666612121224242424212448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-111-1-1-111-1-1111111111-1-11-1-11111-1-1-111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-11-1-1111-1-111-1-1-1-111111-1-1-111-1-1-1-1111-1-111-11-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111
χ5111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111-1-111111-1-1-1-1-1-1-111-1-1-1-1-11-111-1-111111-1-1-1-1-111
χ6111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1111-1-1-1-1-11111111-1-1
χ7111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-1-11111-1-1-111111-1-1-1-11-11-1-1
χ8111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1111111-111-1-1-1-11-11-1-111-1-1-1-1-111-11-111
χ9111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11111-1-1111-1-1-1-11-1-1-1-111-11-1
χ10111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-111-111-1-1-1-1-11111111-1-111-1-1-11-111-1-111-1-1-111-1-11-11
χ11111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-11-1-111-1-11-11-1-111-1-1111-1-1-111-11
χ12111111111111111-1-111111111-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1111111-1-1-11111-111111-1-11-1
χ13111111111111111-1-11111111-11-1-1-1-1-1-11111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-11-1-111-1-111-1
χ14111111111111111-1-11111111-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-111-1-11
χ15111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-11
χ16111111111111111-1-11111111-11-1-1-1-1-1-11111111111-1-1-111-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-111-1-1-1111-1
χ17222222-2-2222222200222-2-2-2-200000000-2-2000000000022-2-222000022-2-20000022000000000-20000-20000
χ18222222-2-2222222200222-2-2-2-200000000-2-200000000002-22-2220000-2-22200000-2-2000000000-2000020000
χ19222222-2-2222222200222-2-2-2-200000000-2-20000000000-22-22-2-2000022-2-200000-2-20000000002000020000
χ20222222-2-2222222200222-2-2-2-200000000-2-20000000000-2-222-2-20000-2-222000002200000000020000-20000
χ2122222-122-12-1-122-122-1-1-1-12-1222-1-1-1-122-1-122-1-1-1-1-1-1220220002200-1-1-1-12-1-1-1-100200-1-1-1-1000-1-10000000
χ2222222-122-12-1-122-122-1-1-1-12-1222-1-1-1-122-1-122-1-1-1-1-1-1-2-20-2-2000-2-20011112-1-1-1-100-2001111000110000000
χ2322222-122-12-1-122-122-1-1-1-12-12-2-2-1-11122-1-1-2-2111111220-2-200022001111-2-1-11100-200-1-111000-1-10000000
χ2422222-122-12-1-122-122-1-1-1-12-12-2-2-1-11122-1-1-2-2111111-2-2022000-2-200-1-1-1-1-2-1-1110020011-1-1000110000000
χ2522222-122-12-1-122-1-2-2-1-1-1-12-122-211-1-1-2-2-1-1-2-211111122022000-2-200-1-1-1-1211-1-100-200-1-111000110000000
χ2622222-122-12-1-122-1-2-2-1-1-1-12-122-211-1-1-2-2-1-1-2-2111111-2-20-2-200022001111211-1-10020011-1-1000-1-10000000
χ2722222-122-12-1-122-1-2-2-1-1-1-12-12-221111-2-2-1-122-1-1-1-1-1-1220-2-2000-2-2001111-2111100200-1-1-1-1000110000000
χ2822222-122-12-1-122-1-2-2-1-1-1-12-12-221111-2-2-1-122-1-1-1-1-1-1-2-20220002200-1-1-1-1-2111100-2001111000-1-10000000
χ292222-12222-122-1-1-122-1-1-12-12-1222222-1-1-1-1-1-122-1-1-1-1002002-1-100220000-1-1-1-1-1000220000-1-1-100-1-10-1000
χ302222-12222-122-1-1-122-1-1-12-12-1222222-1-1-1-1-1-122-1-1-1-100-200-21100-2-20000-1-1-1-1-1000-2-20000111001101000
χ312222-12222-122-1-1-122-1-1-12-12-1-2-222-2-2-1-1-1-111-2-21111002002-1-100-2-200001-1-1110002-20000-1-1-1001101000
χ322222-12222-122-1-1-122-1-1-12-12-1-2-222-2-2-1-1-1-111-2-2111100-200-211002200001-1-111000-22000011100-1-10-1000
χ332222-12222-122-1-1-1-2-2-1-1-12-12-12-2-2-22211-1-111-2-21111002002-1-100-2-20000-111-1-1000-22000011-100110-1000
χ342222-12222-122-1-1-1-2-2-1-1-12-12-12-2-2-22211-1-111-2-2111100-200-21100220000-111-1-10002-20000-1-1100-1-101000
χ352222-12222-122-1-1-1-2-2-1-1-12-12-1-22-2-2-2-211-1-1-1-122-1-1-1-1002002-1-10022000011111000-2-2000011-100-1-101000
χ362222-12222-122-1-1-1-2-2-1-1-12-12-1-22-2-2-2-211-1-1-1-122-1-1-1-100-200-21100-2-2000011111000220000-1-1100110-1000
χ372-2-22222-22-2-2-2-2222i−2i2-2-222-2-2002i−2i002i−2i-22000000002-20000002i−2i00000002i−2i00000002-2000002i−2i0000000
χ382-2-22222-22-2-2-2-2222i−2i2-2-222-2-2002i−2i002i−2i-2200000000-22000000−2i2i00000002i−2i0000000-2200000−2i2i0000000
χ392-2-22222-22-2-2-2-222−2i2i2-2-222-2-200−2i2i00−2i2i-22000000002-2000000−2i2i0000000−2i2i00000002-200000−2i2i0000000
χ402-2-22222-22-2-2-2-222−2i2i2-2-222-2-200−2i2i00−2i2i-2200000000-220000002i−2i0000000−2i2i0000000-22000002i−2i0000000
χ412-2-222-12-2-1-211-22-12i−2i-111-121-200−ii3−32i−2i1-100−i3i3−i3−i3i3i32-20000002i−2i003−33−30−ii3−300000-11−i3i3000−ii0000000
χ422-2-222-12-2-1-211-22-12i−2i-111-121-200−ii3−32i−2i1-100−i3i3−i3−i3i3i3-22000000−2i2i00−33−330−ii3−3000001-1i3−i3000i−i0000000
χ432-2-222-12-2-1-211-22-12i−2i-111-121-200−ii−332i−2i1-100i3−i3i3i3−i3−i32-20000002i−2i00−33−330−ii−3300000-11i3−i3000−ii0000000
χ442-2-222-12-2-1-211-22-12i−2i-111-121-200−ii−332i−2i1-100i3−i3i3i3−i3−i3-22000000−2i2i003−33−30−ii−33000001-1−i3i3000i−i0000000
χ452-2-222-12-2-1-211-22-1−2i2i-111-121-200i−i3−3−2i2i1-100i3−i3i3i3−i3−i32-2000000−2i2i003−33−30i−i3−300000-11i3−i3000i−i0000000
χ462-2-222-12-2-1-211-22-1−2i2i-111-121-200i−i3−3−2i2i1-100i3−i3i3i3−i3−i3-220000002i−2i00−33−330i−i3−3000001-1−i3i3000−ii0000000
χ472-2-222-12-2-1-211-22-1−2i2i-111-121-200i−i−33−2i2i1-100−i3i3−i3−i3i3i32-2000000−2i2i00−33−330i−i−3300000-11−i3i3000i−i0000000
χ482-2-222-12-2-1-211-22-1−2i2i-111-121-200i−i−33−2i2i1-100−i3i3−i3−i3i3i3-220000002i−2i003−33−30i−i−33000001-1i3−i3000−ii0000000
χ4944444-2-4-4-24-2-244-200-2-2-22-42-40000000022000000000004-40000000-2-22200000000000000000000000000
χ5044444-2-4-4-24-2-244-200-2-2-22-42-4000000002200000000000-44000000022-2-200000000000000000000000000
χ514444-24-4-44-244-2-2-200-2-2-2-42-4200000000220000000000400-4-2-20000000000000000000000002000000000
χ524444-24-4-44-244-2-2-200-2-2-2-42-4200000000220000000000-400422000000000000000000000000-2000000000
χ534444-2-244-2-2-2-2-2-2144111-2-2-2-244-2-2-2-2-2-211-2-2-2-211110000000000000000-21111000000000000000000000
χ544444-2-244-2-2-2-2-2-2144111-2-2-2-2-4-4-2-222-2-2112222-1-1-1-10000000000000000211-1-1000000000000000000000
χ554444-2-244-2-2-2-2-2-21-4-4111-2-2-2-24-422-2-222112222-1-1-1-10000000000000000-2-1-111000000000000000000000
χ564444-2-244-2-2-2-2-2-21-4-4111-2-2-2-2-4422222211-2-2-2-2111100000000000000002-1-1-1-1000000000000000000000
χ5744-4-44400-4-44-44-4400-44-400000000000000000000000000000000−2i22i200000000000000000000000−2i22i200000
χ5844-4-44400-4-44-44-4400-44-4000000000000000000000000000000002i2−2i2000000000000000000000002i2−2i200000
χ5944-4-4-2400-424-4-22-2002-22000000000000006−6006−66−6000000−2i32i300−2i22i200000000000000000000000i2−i200000
χ6044-4-4-2400-424-4-22-2002-22000000000000006−6006−66−60000002i3−2i3002i2−2i200000000000000000000000−i2i200000
χ6144-4-4-2400-424-4-22-2002-2200000000000000−6600−66−66000000−2i32i3002i2−2i200000000000000000000000−i2i200000
χ6244-4-4-2400-424-4-22-2002-2200000000000000−6600−66−660000002i3−2i300−2i22i200000000000000000000000i2−i200000
χ634-44-44400-44-44-4-4400-4-4400000000000000000000000000000000000000000004i−4i0000000000000000000
χ644-44-44400-44-44-4-4400-4-440000000000000000000000000000000000000000000−4i4i0000000000000000000
χ654-4-4444-444-4-4-4-444004-4-4-4-444000000004-400000000000000000000000000000000000000000000000000
χ664-4-444-2-44-2-422-44-200-2222-4-2400000000-220000000000000000000023−23−232300000000000000000000000000
χ674-4-444-2-44-2-422-44-200-2222-4-2400000000-2200000000000000000000−232323−2300000000000000000000000000
χ684-4-44-244-442-4-42-2-24i−4i-2224-2-42004i−4i00−2i2i2-20000000000000000000000000−2i2i00000000000000000000000
χ694-4-44-244-442-4-42-2-2−4i4i-2224-2-4200−4i4i002i−2i2-200000000000000000000000002i−2i00000000000000000000000
χ704-4-44-24-4442-4-42-2-200-222-424-200000000-220000000000000000000000000000000000000023−230000000000
χ714-4-44-24-4442-4-42-2-200-222-424-200000000-2200000000000000000000000000000000000000−23230000000000
χ724-4-44-2-24-4-22222-214i−4i1-1-1-2-22200−2i2i23−23−2i2i-1100−2i32i3i3i3−i3−i300000000000000000i−i−33000000000000000000000
χ734-4-44-2-24-4-22222-214i−4i1-1-1-2-22200−2i2i−2323−2i2i-11002i3−2i3−i3−i3i3i300000000000000000i−i3−3000000000000000000000
χ744-4-44-2-24-4-22222-21−4i4i1-1-1-2-222002i−2i23−232i−2i-11002i3−2i3−i3−i3i3i300000000000000000−ii−33000000000000000000000
χ754-4-44-2-24-4-22222-21−4i4i1-1-1-2-222002i−2i−23232i−2i-1100−2i32i3i3i3−i3−i300000000000000000−ii3−3000000000000000000000
χ768888-4-4-8-8-4-4-4-4-4-4200222444400000000-2-200000000000000000000000000000000000000000000000000
χ7788-8-88-4004-8-448-8-4004-440000000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-40044-44-44200-22-20000000000000026−2600−66−66000000000000000000000000000000000000000000
χ7988-8-8-4-40044-44-44200-22-200000000000000−2626006−66−6000000000000000000000000000000000000000000
χ808-88-88-400484-4-8-8-40044-40000000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4800-8-4-8844-40044-40000000000000000000000000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-444200-2-22000000000000000000−3i23i23i2−3i2000000000000000000000000000000000000000000
χ838-88-8-4-4004-44-444200-2-220000000000000000003i2−3i2−3i23i2000000000000000000000000000000000000000000
χ848-8-88-4-4-88-44444-42002-2-244-4-4000000002-200000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).